3 citations · 3 across the 3 of their papers we have counts for
7 papers · 1 filter
Degree-2 Abel maps and hyperelleptic curves
Alex Abreu, Sally Andria, Marco Pacini
In this paper we resolve the degree-2 Abel map for nodal curves. Our results are based on a previous work of the authors reducing the problem of the resolution of the Abel map to a…
The moduli space of quasistable spin curves
Alex Abreu, Marco Pacini, Danny Taboada
We study a compactification of the moduli space of theta characteristics, giving a modular interpretation of the geometric points and describing the boundary stratification. This s…
Abel Maps for nodal curves via tropical geometry
Alex Abreu, Sally Andria, Marco Pacini
We consider Abel maps for regular smoothing of nodal curves with values in the Esteves compactified Jacobian. In general, these maps are just rational, and an interesting question…
A universal tropical Jacobian over $M_g^{\trop}$
Alex Abreu, Sally Andria, Marco Pacini +1
We introduce and study polystable divisors on a tropical curve, which are the tropical analogue of polystable torsion-free rank-1 sheaves on a nodal curve. We construct a universal…
The resolution of the universal Abel map via tropical geometry and applications
Alex Abreu, Marco Pacini
Let and be nonnegative integers and a sequence of integers summing up to . Let be the moduli space of…
The universal tropical Jacobian and the skeleton of the Esteves' universal Jacobian
Alex Abreu, Marco Pacini
For each universal genus- polarization of degree , we construct a universal tropical Jacobian as a generalized cone complex over the moduli space of stab…